Pith Number

pith:WP4JJ26N

pith:2013:WP4JJ26N3KSE3ZQTZQHDTYL7AH

not attested not anchored not stored refs pending

A solution to the 2/3 conjecture

John Talbot, Rahil Baber

arxiv:1306.6202 v2 · 2013-06-26 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WP4JJ26N3KSE3ZQTZQHDTYL7AH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:57:43.571265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3f894ebcddaa44de613cc0e39e17f01e505f23e8e32bcf4910a9dccb90bbff7

Aliases

arxiv: 1306.6202 · arxiv_version: 1306.6202v2 · doi: 10.48550/arxiv.1306.6202 · pith_short_12: WP4JJ26N3KSE · pith_short_16: WP4JJ26N3KSE3ZQT · pith_short_8: WP4JJ26N

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WP4JJ26N3KSE3ZQTZQHDTYL7AH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b3f894ebcddaa44de613cc0e39e17f01e505f23e8e32bcf4910a9dccb90bbff7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d342203b8fc561413c4bdf2673388e7ee491f06cd32bfc3cb7770d3d3ce7741",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-26T11:05:13Z",
    "title_canon_sha256": "8738b2bec0c1d82d8c3ebbc72f2e9df377a5332fe2c0291978bb3f7698341540"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6202",
    "kind": "arxiv",
    "version": 2
  }
}